# All Questions

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### Calculate theoretical forward price of a stock

The current price of a stock is USD400 per share and it pays no dividends. Assuming a constant interest rate of 8% compounded quarterly, what is the stock's theoretical forward price for delivery in 9 ...
42 views

### How to change to risk neutral measure in a mean reversion process?

For example, in the Ornstein-Uhlenbeck process do I just replace the drift term with the risk free rate, like in the GBM case?
104 views

### Stochastic process theory question

*S follows a process $dS= mSdt + oSdz$ where m and o are constant. What is the probability followed by $Y=(Se)^{(r-t)}$. If S follows a process $dS= k (b-S) dt + oSdz$ where k, b, o are ...
192 views

### Forecast of volatility

What are the well known methods for forecasting (daily - weekly - monthly) volatility of a stock price? How about a bond price? Let's say I have in my disposition the price time series at a very high ...
151 views

### Delta Hedging for 2 Factor Models

If the value of an option at Maturity is what is the off-setting position you take for X and Y, if you are i)Long Call of the option ii)Short Call of the option iii)Long Put of the option iv)Short ...
19 views

### How Current are Google Finance & YQL Sock Information

When viewing a specific stocks information on Google Finance and Yahoo Finance- how old/current is the stock information (Price, offer, bid, etc)? I've heard some providers offer information that is ...
42 views

### Why is the forward rate used for the underlying in Black's model?

Why is the forward rate suitable for being used as the underlying in Black's model? Thanks
81 views

### $\mathop{\mathbb{E^{}}}\left\lbrace 1_{S_T > K} \; S_T \right\rbrace$ ? Exp. of an indicator funct and a diffusion with non-proportional vol

How to compute $\mathop{\mathbb{E^{}}}\left\lbrace 1_{S_T > K} \; S_T \right\rbrace$ ? where $dS_t = S_t r dt + \sigma dW_t$ and $1_{S_T > K}$ is the indicator function being one when ...
57 views

### Estimating Carma(2,1) parameters (using yuima package)

I am very new to R, and particularly to the yuima package, so I was hoping someone would be able to help me. I have some data (daily prices) that I wish to fit to ...
18 views

### Question in the proof of “Optimization of conditional value-at-risk”

I'm reading the paper "Optimization of conditional value-at-risk" by Rockafellar and Uryasev. The state two theorems within the paper which are proven in the appendix. Let me introduce some notation ...
35 views

### Optimal Financing Mix: Cost of Capital Approach

According to Cost of Capital approach to optimal financing mix we can calculate Cost-of-Capital-minimizing $\frac{D}{E}$ ratio as follows: $\frac{D}{E}_{opt} = argmin_{\frac{D}{E}}WACC$, where ...
21 views

### Effect on variance of change of measure

My current understanding: (a) changing the probability measure of a diffusion process does not change the variance. (b) for a general stochastic process the variance may change. Please confirm whether ...
34 views

### BLS v2 API took 20+ minutes to publish data where is immediate data available?

First, I should state that I built a Java program that uses HTTP Components to keep in sync with server time for my broker. Once 7:29:59 comes around the program ...
596 views

### How many monte carlo runs do I need for pricing a Call?

I have to price several calls using Monte Carlo. Obviously, there is a huge tradeoff between the number of runs and the fair price of the call option. I know I can check how the approximation changes ...
72 views

### Brownian motion. Solve stoc. integral by using Ito's lemma

I want to show that following statement is true by using Ito's lemma to solve stochastic integrals: I define the functions in Ito's model: a()=0, b()= (2wt-2)^2. f(t)=Integrate[(2wt-2)^2] Then ...
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### Guranteed Investments Funds

Let's say a GIF's maturity is 10 years and an investor gets a 10% coupon each year if Eonia is higher than the original date (Day 0). When they say 10% coupon, is is it 0.1*"What I invested in Day 0" ...
37 views

### Imposing MLE restrictions by logistic mapping

I am doing some Maximum Likelihood Estimation with a density that has time-varying parameters. I am using the fmincon function in Matlab, but I do not know how to ...
29 views

### hedging of a spread option with call

We have 2 underlying $S^{1}$ and $S^{2}$ with BS dynamic under the risk-neutral measure (r constant...) I found the (big) PDE satisfied by the price function $u(t,x,y)$ of a call spread whose payoff ...
25 views

### How to calculate 5 years return & STD for ETF?

I want to calculate by-myself 5 year return & STD for SPY ETF. What I did: Downloaded to Excel from yahoo finance historical data for the ETF (daily Adj. Close) from ...
234 views

### Present and future role of pricing quants

While looking up on quants, I came across many sources that cited 'pricing quants' as one of the biggest chunks among all quant positions. But then I also came across many software companies providing ...
135 views

### Normalizing SPY ETF time series data with its sector ETFs?

I am looking to compare the returns of a sector rotation strategy between the various SPDR sector ETFs XLY, XLP, XLE, XLF, XLV, XLI, XLB, XLK, XLU vs. ...
77 views

### Under what circumstances Veta is positive?

In general, as the option moves towards expiry, its vega is decreasing. Are there circumstances where the veta, i.e. the sensitivity of vega with respect to time, is positive, that is when vega is ...
115 views

### Greeks for binary option?

How to derive an analytic formula of greeks for binary option? We know a vanilla option can be constructed by an asset-or-nothing call and a cash-or-nothing call, does that help us? Wikipedia states ...
133 views

### Estimate Beta of CAPM from Implied Volatility?

In the CAPM theory Beta of asset $i$ are estimated in this way: $\beta_i = \frac{\sigma_{im}}{\sigma^2_m}$ where $\sigma_{im} = \rho_{im} \sigma_i \sigma_m$ But all these data are historical data. ...
38 views

### Impulse response function interpretation

I would need a quick help with Impulse response function interpretation which I have done after Vector autoregression model in stata. I need to understand how to interpret IRF graph or table values ...
63 views

### Do FRN's *always* trade on par on reset days, regardless if the issuer's credit quality has changed?

I keep reading that floating rate notes trade on par on coupon reset days. Is this always true, regardless of changes in the issuer's credit quality since the FRN was issued? It seems probably ...
45 views

### simple game - fair value

Suppose a person A has the following game: there are 2 red balls, 2 green balls and 1 white ball in a bag you take 1 ball (don't put it again in the bag) and then a second ball if you take the white ...
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### What is the yield when a floating-rate note is issued above/below par?

I am new in this area so all help is much appreciated! Let's say a 3-year floating rate note pays a coupon of LIBOR+100 bps, and is issued at a premium with price = 100.5. I understand that this ...
63 views

### pricing with implied volatility surface

I am a newbee in Quantive finance. supposing I calibrate a smoothing implied volatility surface with cubic spline now. A minute later I want to price K=100,t=1 option, can I just find the point on ...
How does one calculate the return on a portfolio if the assets in that portfolio were held for varying periods of time? For Example: $t_0$ Buy AAPL at 100 $t_5$ Buy MSFT at 20 $t_1$$_0$ Sell MSFT at ...